document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172762>Question 172762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have two questions.<BR>\n" );
document.write( "1.  Find the area of triangle ABC if A=56 degrees, b=20 ft, and c=12 ft.  Round to the nearest tenth.<BR>\n" );
document.write( "2.  In triangle ABC, A=35 degrees, a=43 and c=20.  Determine whether triangle ABC has no solution, one solution, or two solutions.  Then solve the triangle.  Round to the nearest tenth.<BR>\n" );
document.write( "I must show all my work, and I'm not really sure how to do either problem.<BR>\n" );
document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127642 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=127642\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Find the area of triangle ABC if A=56 degrees, b=20 ft, and c=12 ft. Round to the nearest tenth.<BR>\n" );
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document.write( "If you sketch it, then draw the altitude from the end of b, that altitude = 10*sin(56) and it's the h of A = bh/2.<BR>\n" );
document.write( "Area = 12*20*sin(56)/2<BR>\n" );
document.write( "Area = 99.5 sq units<BR>\n" );
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document.write( "2. In triangle ABC, A=35 degrees, a=43 and c=20. Determine whether triangle ABC has no solution, one solution, or two solutions. Then solve the triangle. Round to the nearest tenth.<BR>\n" );
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document.write( "Use the Law of Sines<BR>\n" );
document.write( "a/sin(A) = c/sin(C)<BR>\n" );
document.write( "43/sin(35) = 20/sin(C)<BR>\n" );
document.write( "sin(C) = 20*sin(35)/43 = 0.26677974<BR>\n" );
document.write( "C = 15.4727 degs or 164.5273 degs (from inverse sine)<BR>\n" );
document.write( "C cannot be 164... degs, tho, because adding A would exceed 180 degs.<BR>\n" );
document.write( "So C = 15.4727 degs, and there is only one solution.<BR>\n" );
document.write( "Angle B = 180 - (A+C) = 129.5273 degs<BR>\n" );
document.write( "side b/sin(B) = a/sin(A)<BR>\n" );
document.write( "b = 43*sin(B)/sin(A)<BR>\n" );
document.write( "b = 57.825<BR>\n" );
document.write( " </SPAN>\n" );
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